Using master equations we present an analytical solution of the time
evolution of an entangled electron spin pair which can occupy 36 different
quantum states in a double quantum dot nanostructure. This solution is exact
given a few realistic assumptions and takes into account relaxation and
decoherence rates of the electron spins as phenomenological parameters. Our
systematic method of solving a large set of coupled differential equations is
straightforward and can be used to obtain analytical predictions of the quantum
evolution of a large class of complex quantum systems, for which until now
commonly numerical solutions have been sought.